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Finding the Fourth Proportional to 493,000.35, 680,343.89 and 311,790.39

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Solution

The fourth proportional to 493,000.35, 680,343.89 and 311,790.39 is: 430,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,000.35 : 680,343.89 = 311,790.39 : x
  2. Step 2: Convert to fraction form
    493,000.35/680,343.89 = 311,790.39/x
  3. Step 3: Cross multiply
    493,000.35x = 680,343.89 × 311,790.39
  4. Step 4: Simplify right side
    493,000.35x = 212,124,685,238.27
  5. Step 5: Solve for x
    x = 212,124,685,238.27/493,000.35
  6. Step 6: Final answer
    x = 430,272.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.